Sine Law: Find the length of the third side of the plot

[shammer]

A surveyor has surveyed a triangular plot of land. one side of the plot lies along a county road. This side is 400 ft long. An adjecent side makes an angle of 88 degrees with the side along the road. The side opposite this angle is 550 ft long.

a) Determine the length of the third side of the plot, to the nearest foot.

b) Describe how you calcualted the angles. Explain whether your strategy
was reasonable.

its due in the morning and i dont get it plezzzzzzzz help someone
thanks

 

[tkhunny]

Do you have the Pythagorean Theorem? 88º isn't far from 90º. It would be a good OVERestimate.

Do you have the Law of Cosines? That will give it to you exactly.

 

[Loren]

I would use the law of sines first to determine the measure of the other two angles. Then use the law of sines again or use the law of cosines. I got approx. 391.72.

 

[shammer]

thanks soo much